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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 285 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 22882 divisible by 4?
  2. 2.Is 101376 divisible by 15?
  3. 3.Is 5555 divisible by 9?
  4. 4.Is 121191 divisible by 19?
  5. 5.Is 87193 divisible by 17?
  6. 6.Is 21140 divisible by 4?
  7. 7.Is 35882 divisible by 12?
  8. 8.Is 8574 divisible by 2?
  9. 9.Is 5829 divisible by 9?
  10. 10.Is 970 divisible by 5?
  11. 11.Is 7040 divisible by 20?
  12. 12.Is 17353 divisible by 7?
  13. 13.Is 4454 divisible by 17?
  14. 14.Is 70363 divisible by 19?
  15. 15.Is 9143 divisible by 3?
  16. 16.Is 12289 divisible by 3?
  17. 17.Is 53592 divisible by 8?
  18. 18.Is 4825 divisible by 3?
  19. 19.Is 4786 divisible by 15?
  20. 20.Is 80374 divisible by 24?
  21. 21.Is 9263 divisible by 2?
  22. 22.Is 8036 divisible by 7?
  23. 23.Is 12253 divisible by 2?
  24. 24.Is 10333 divisible by 12?
  25. 25.Is 57076 divisible by 19?
  26. 26.Is 21785 divisible by 4?
  27. 27.Is 18445 divisible by 23?
  28. 28.Is 1649 divisible by 8?
  29. 29.Is 25530 divisible by 20?
  30. 30.Is 55929 divisible by 10?
  31. 31.Is 34238 divisible by 17?
  32. 32.Is 2060 divisible by 7?
  33. 33.Is 742 divisible by 12?
  34. 34.Is 5842 divisible by 12?
  35. 35.Is 96678 divisible by 15?
  36. 36.Is 49958 divisible by 9?
  37. 37.Is 37776 divisible by 8?
  38. 38.Is 33733 divisible by 7?
  39. 39.Is 27344 divisible by 12?
  40. 40.Is 59600 divisible by 11?

Answer key

  1. no
  2. no
  3. no
  4. no
  5. yes
  6. yes
  7. no
  8. yes
  9. no
  10. yes
  11. yes
  12. yes
  13. yes
  14. no
  15. no
  16. no
  17. yes
  18. no
  19. no
  20. no
  21. no
  22. yes
  23. no
  24. no
  25. yes
  26. no
  27. no
  28. no
  29. no
  30. no
  31. yes
  32. no
  33. no
  34. no
  35. no
  36. no
  37. yes
  38. yes
  39. no
  40. no

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